Question

Use the given nth term formula to compute the first five terms of the aₙ=7n²-2n

Answer 1

To compute the first five terms of the sequence with the nth term formula aₙ=7n²-2n, substitute values of n from 1 to 5 into the formula and calculate the corresponding terms.

Step-by-step explanation:

To compute the first five terms of the sequence with the nth term formula aₙ = 7n² - 2n, we substitute values of n from 1 to 5 into the formula and calculate the corresponding terms.:

1. n = 1: a₁ = 7(1)² - 2(1) = 7(1) - 2 = 7 - 2 = 5
2. n = 2: a₂ = 7(2)² - 2(2) = 7(4) - 4 = 28 - 4 = 24
3. n = 3: a₃ = 7(3)² - 2(3) = 7(9) - 6 = 63 - 6 = 57
4. n = 4: a₄ = 7(4)² - 2(4) = 7(16) - 8 = 112 - 8 = 104
5. n = 5: a₅ = 7(5)² - 2(5) = 7(25) - 10 = 175 - 10 = 165